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DYNAMICS AND BIFURCATION OF PASSIVE TRACERS ADVECTED BY A RING OF POINT VORTICES ON A SPHERE

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dc.creatorJAIME EDUARDO ANDRADE BUSTOS
dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2020
dc.date.accessioned2025-01-10T15:10:20Z
dc.date.available2025-01-10T15:10:20Z
dc.date.issued2020
dc.description.abstractWE CONSIDER THE DYNAMICS OF A PASSIVE TRACER, ADVECTED BY THE PRESENCE OF A LATITUDINAL RING OF IDENTICAL POINT VORTICES. THE CORRESPONDING INSTANTANEOUS MOTION IS MODELED BY A ONE DEGREE OF FREEDOM HAMILTONIAN SYSTEM. SUCH A DYNAMICS PRESENTS A RICH VARIETY OF BEHAVIORS WITH RESPECT TO THE NUMBER OF VORTICES, N, AND THE RING?S CO-LATITUDE, ?O?OR, EQUIVALENTLY, ITS VERTICAL POSITION QO = COS??O. WE CARRY OUT A COMPLETE DESCRIPTION OF THE GLOBAL PHASE PORTRAIT FOR THE CASES N = 2, 3, 4 BY DETERMINING EQUILIBRIUM POINTS, THEIR STABILITY, AND BIFURCATIONS WITH RESPECT TO THE PARAMETER ?O, AND BY CHARACTERIZING THE SEPARATRIX SKELETON. MOREOVER, FOR N ? 5, WE PROVE THE EXISTENCE OF A VALUE OF BIFURCATION ?ON SUCH THAT WHEN ?O = ?ON (?O = ? ? ?ON, RESPECTIVELY) THE SOUTH (NORTH, RESPECTIVELY) POLE BECOMES A N-BIFURCATION POINT, I.E., A SYMMETRIC WEB OF N CENTERS AND N SADDLES BIFURCATES FROM THE CORRESPONDING POLE.
dc.formatapplication/pdf
dc.identifier.doi10.1063/1.5128007
dc.identifier.issn1089-7658
dc.identifier.issn0022-2488
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10761
dc.languagespa
dc.publisherJOURNAL OF MATHEMATICAL PHYSICS
dc.relation.uri10.1063/1.5128007
dc.rightsPUBLICADA
dc.titleDYNAMICS AND BIFURCATION OF PASSIVE TRACERS ADVECTED BY A RING OF POINT VORTICES ON A SPHERE
dc.title.alternativeDINÁMICA Y BIFURCACIÓN DE TRAZADORES PASIVOS ADVECTADOS POR UN ANILLO DE VÓRTICES PUNTUALES EN UNA ESFERA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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